# Arithmetic Progressions – Class X – Part 3 | nth term of an AP | Exercise 5.2 | Q7-15 Solved

### Watch the third video session on “Arithmetic Progressions” for Class Xth – concepts and solved questions.

Arithmetic Progressions – Class X – Part 3 | nth term of an AP

The nth term an of the AP with first term ‘a’ and common difference ‘d’ is given by an = a + (n – 1) d.

Exercise 5.2 | Q7-15 Completely Solved with easy explanation

7. Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

8. An AP consists of 50 terms of which 3rd term is 12 and the last term is 106. Find the 29th term.

9. If the 3rd and the 9th terms of an AP are 4 and – 8 respectively, which term of this AP is zero?

10. The 17th term of an AP exceeds its 10th term by 7. Find the common difference.

11. Which term of the AP : 3, 15, 27, 39, . . . will be 132 more than its 54th term?

12. Two APs have the same common difference. The difference between their 100th terms is 100, what is the difference between their 1000th terms?

13. How many three-digit numbers are divisible by 7?

14. How many multiples of 4 lie between 10 and 250?

15. For what value of n, are the nth terms of two APs: 63, 65, 67, . . . and 3, 10, 17, . . . equal?

——